1000991001001 has 8 divisors (see below), whose sum is σ = 1052483473800. Its totient is φ = 950630231040.

The previous prime is 1000991000983. The next prime is 1000991001029. The reversal of 1000991001001 is 1001001990001.

It can be written as a sum of positive squares in 4 ways, for example, as 40690958400 + 960300042601 = 201720^2 + 979949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000991001001 - 2²³ = 1000982612393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000991001301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282923896 + ... + 282927433.

It is an arithmetic number, because the mean of its divisors is an integer number (131560434225).

Almost surely, 2^{1000991001001} is an apocalyptic number.

It is an amenable number.

1000991001001 is a deficient number, since it is larger than the sum of its proper divisors (51492472799).

1000991001001 is an equidigital number, since it uses as much as digits as its factorization.

1000991001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565851419.

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 1000991001001 its reverse (1001001990001), we get a palindrome (2001992991002).

The spelling of 1000991001001 in words is "one trillion, nine hundred ninety-one million, one thousand, one".